Lorentz invariance relations between parton distributions and the Wandzura–Wilczek approximation

Metz, Andreas; Schweitzer, P.; Teckentrup, T.

doi:10.1016/j.physletb.2009.08.052

Cited by 44 publications

(46 citation statements)

References 88 publications

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“…These so-called "Lorentz-invariance relations" (LIRs) are not valid in models with gauge field degrees of freedom [95] and in QCD [96]. The applications of LIRs in phenomenology were discussed in [99,100]. There it was also shown, by exploring QCD equations of motion, that some LIRs hold in an approximation consisting of the neglect of quark-gluon-quark-correlator and current quark mass terms.…”

Section: A Relations Valid In All Quark Modelsmentioning

confidence: 99%

“…Whether such an approximation is is justified in nature is, of course, a different question. For discussions of specific cases see [98][99][100][101][109][110][111][112][113]. For quark model calculations, the practical application of the relations (34)(35)(36)(37)(38) is immediate: they provide a valuable cross check for the numerical results.…”

Section: A Relations Valid In All Quark Modelsmentioning

confidence: 99%

“…In Sec. V we present and discuss the numerical results, using them, among others, for 'testing' the Gaussian Ansatz or Wandzura-Wilczek-type approximations [98][99][100][101]. Finally, in Sec.…”

Section: Introductionmentioning

confidence: 98%

“…Such relations, especially when supported by several models, could be helpful -at least for qualitative interpretations of first data. Furthermore, model results allow to test assumptions made in literature, such as the Gaussian Ansatz for transverse momentum distributions or certain approximations [95][96][97][98][99][100][101].…”

Section: Introductionmentioning

confidence: 99%

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Transverse momentum dependent distribution functions in the bag model

et al. 2010

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Leading and subleading twist transverse momentum dependent parton distribution functions (TMDs) are studied in a quark model framework provided by the bag model. A complete set of relations among different TMDs is derived, and the question is discussed how model-(in)dependent such relations are. A connection of the pretzelosity distribution and quark orbital angular momentum is derived. Numerical results are presented, and applications for phenomenology discussed. In particular, it is shown that in the valence-x region the bag model supports a Gaussian Ansatz for the transverse momentum dependence of TMDs.

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Section: A Relations Valid In All Quark Modelsmentioning

confidence: 99%

Section: A Relations Valid In All Quark Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

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Transverse momentum dependent distribution functions in the bag model

et al. 2010

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“…whereas forg we use (23) and a Wandzura-Wilczek-type approximation for the particular k Tmoment of g 1T in (23) [73], leading tõ…”

Section: Numerical Estimatesmentioning

confidence: 99%

Exploring the structure of the proton through polarization observables inlp→jetX

et al. 2011

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We present results for a complete set of polarization observables for jet production in lepton proton collision, where the final state lepton is not observed. The calculations are carried out in collinear factorization at the level of Born diagrams. For all the observables we also provide numerical estimates for typical kinematics of a potential future Electron Ion Collider. On the basis of this numerical study, the prospects for the transverse single target spin asymmetry are particularly promising. This observable is given by a certain quark-gluon correlation function, which has a direct relation to the transverse momentum dependent Sivers parton distribution.

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Unpolarized transverse momentum dependent parton distribution functions beyond leading twist in quark models

Lorcé

Pasquini

Schweitzer

2015

J. High Energ. Phys.

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Higher-twist transverse momentum dependent parton distribution functions (TMDs) are a valuable probe of the quark-gluon dynamics in the nucleon, and play a vital role for the explanation of sizable azimuthal asymmetries in hadron production from unpolarized and polarized deep-inelastic lepton-nucleon scattering observed in experiments at CERN, DESY and Jefferson Lab. The associated observables are challenging to interpret, and still await a complete theoretical explanation, which makes guidance from models valuable. In this work we establish the formalism to describe unpolarized higher-twist TMDs in the light-front framework based on a Fock-space expansion of the nucleon state in terms of free on-shell parton states. We derive general expressions and present numerical results in a practical realization of this picture provided by the light-front constituent quark model. We review several other popular quark model approaches including free quark ensemble, bag, spectator and chiral quark-soliton model. We discuss how higher-twist TMDs are described in these models, and obtain results for several TMDs not discussed previously in literature. This study contributes to the understanding of non-perturbative properties of subleading twist TMDs. The results from the light-front constituent quark model are also compared to available phenomenological information, showing a satisfactory agreement.

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Lorentz invariance relations between parton distributions and the Wandzura–Wilczek approximation

Cited by 44 publications

References 88 publications

Transverse momentum dependent distribution functions in the bag model

Transverse momentum dependent distribution functions in the bag model

Exploring the structure of the proton through polarization observables inlp→jetX

Unpolarized transverse momentum dependent parton distribution functions beyond leading twist in quark models

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